Say someone has made a 4-sided die, and states the following probabilities of getting a side (1,2,3, or 4). In each part, state whether a proper probability distribution was used. Why or why not.

a. P(1) = 0.25, P(2) = −0.1, P(3) = 0.35, P(4) = 0.25
b. P(1) = 0.25, P(2) = 0.25, P(3) = 0.25, P(4) = 0.25
c. P(1) = 0.25, P(2) = 0.1, P(3) = 0.35, P(4) = 0.25

(a) NOT proper probability distribution was used

(b) Proper probability probality d

(c) NOT proper probability distribution was used .

Step-by-step explanation:

Probability is a measure of likeliness of an event.

A four-sided dies with faces 1, 2, 3 and 4, when rolled (without bias) is likely of turning 1, or 2, or 3, or 4. Every of its faces are equally likely to turn.

Now, the probability of success plus the probability of failure of an event is always equal to one.

This makes it reasonable that the probability of success or failure of an event is less or equal to one. And the probability of an event is pro

Now, when the die is rolled, there are four possible outcomes, 1 or 2 or 3 or 4.

Probability of 1 = 1/4 = 0.25

Probability of 2 = 1/4 = 0.25

Probability of 3 = 1/4 = 0.25

Probability of 4 = 1/4 = 0.25

(a) The results P(1) = -0.1, is unrealistic, as the probability of success or failure of an event is never less than 0. So, a wrong probability distribution was used.

(b) This reflects what was explained, so, it used the proper probability distribution. It is the correct option.

(c) There is no reason for the probabilities of these events to differ from each other. So, the wrong probability distribution was used.

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be